Burov received overall 122.17 points falling behind Ukrainian athlete Oleksandr Abramenko, who won the gold medal, and Chinese athlete Jia Zongyang.
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Another Russian athlete Pavel Krotov was within a footstep from getting a medal, as he finished up in fourth place (103.17).
Ilya Burov's medal became eleventh for the Russian Olympic team at the 2018 Games and the eighth bronze medal in the country's collection.
Bronze medal winner Russian athlete Ilia Burov celebrates after the men's aerial final at Phoenix Snow Park at the 2018 Winter Olympics in Pyeongchang, South Korea, Sunday, Feb. 18, 2018
© REUTERS / Kin Cheung